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Finding the Third Proportional to 1,561,348 and 3,426,824

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Solution

The third proportional to 1,561,348 and 3,426,824 is: 7,521,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561,348 : 3,426,824 = 3,426,824 : x
  2. Step 2: Convert to fraction form
    1,561,348/3,426,824 = 3,426,824/x
  3. Step 3: Cross multiply
    1,561,348x = 3,426,824 × 3,426,824
  4. Step 4: Simplify right side
    1,561,348x = 11,743,122,726,976
  5. Step 5: Solve for x
    x = 11,743,122,726,976/1,561,348
  6. Step 6: Final answer
    x = 7,521,143.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.